Question

Which equation represents a line that is parallel to the line 2y-10=x?

Answer 1

We can use some simple algebra and rewrite the equation in slope-intercept form (y = mx + b), a form of a line that is the most familiar to people.

We have y = (1/2)x + 5

Because we have second line parallel to the first line, the equation of second line is y = (1/2)x + b', where b' couul be any real number ( for instance b' = 15); then y = (1/2)x + 15;

Finally, 2y -30 = x is the equation of second line.